Exponential and Logarithmic Equations and Functions Quiz

Test your skills with exponential and logarithmic equations. Solve, evaluate, and simplify expressions in this quiz.

#1

1. Solve the exponential equation 2^x = 8.

x = 2
x = 3
x = 4
x = 5
#2

2. Evaluate log base 5 of 25.

1
2
3
4
#3

11. Evaluate log base 4 of 1.

0
1
2
undefined
#4

15. Simplify the expression log base 7 of (49/7).

1
2
3
4
#5

21. Evaluate the expression ln(e^4).

1
2
3
4
#6

3. Solve the logarithmic equation log base 2 of (x + 1) = 3.

x = 1
x = 2
x = 7
x = 8
#7

4. If y = 3^(2x), what is the value of x when y = 81?

1
2
3
4
#8

6. Simplify the expression log base 3 of 27 - log base 3 of 9.

1
2
3
4
#9

9. If y = e^(2x), what is the value of x when y = 10?

ln(5)
ln(10)
ln(2)
ln(4)
#10

12. If y = 6^(x+2), what is the value of x when y = 216?

1
2
3
4
#11

5. Solve the equation 4^x - 2(2^x) - 8 = 0.

x = 2
x = 3
x = 4
x = 5
#12

7. Solve the exponential equation 5^(2x+1) = 125.

x = 1
x = 2
x = 3
x = 4
#13

8. Find the value of x in the equation log base 2 of (x^2) = 4.

x = 2
x = 4
x = 8
x = 16
#14

10. Solve the logarithmic equation ln(x) - ln(x - 3) = 1.

x = 1
x = 2
x = 3
x = 4
#15

14. Find the value of x in the equation e^(2x) - 3e^x + 2 = 0.

ln(2)
ln(3)
ln(4)
ln(5)

Sign In to view more questions.

Sign InSign Up

Quiz Questions with Answers

Forget wasting time on incorrect answers. We deliver the straight-up correct options, along with clear explanations that solidify your understanding.

Test Your Knowledge

Craft your ideal quiz experience by specifying the number of questions and the difficulty level you desire. Dive in and test your knowledge - we have the perfect quiz waiting for you!

Similar Quizzes

Other Quizzes to Explore